"By picking and choosing who they'll tolerate and who they'll try to destroy, ESPN has zero credibility as a sound and reasonable media outlet," Palin wrote.

Earlier this week, Schilling posted and then deleted a tweet that seemed to suggest "extremist" Muslims are as much of a threat to the world as the Nazis were during World War II. ESPN called the tweet "completely unacceptable," and suspended Schilling from his Little League World Series on-air duty.

"By denying the accuracy of Schilling’s tweet, ESPN shows its weakness as it buys into the propaganda of ISIS and other terror organizations, helping mislead the public about the very real threat of terrorism," Palin said.

Schilling has shared controversial statements on the Internet before, regularly posting negative comments about Muslims on Facebook and arguing against evolution on Twitter in 2014. While Schilling was not repremanded by ESPN for his evolution comments, ESPN baseball writer Keith Law -- who debated the issue with Schilling on Twitter -- was suspended from Twitter after the incident. (ESPN said Law's suspension "had absolutely nothing to do with his opinions" on evolution, according to Deadspin.)